Title Advanced fractional differential and integral equations / Said Abbas, Mouffak Benchohra and Gaston Mandata N'Guerekata (Morgan State University, MD, US)

Published Hauppauge, New York : Nova Science Publishers, Inc., 2014

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Description 1 online resource Series Mathematics research developments Mathematics research developments series. Contents ADVANCED FRACTIONAL DIFFERENTIAL AND INTEGRAL EQUATIONS; ADVANCED FRACTIONAL DIFFERENTIAL AND INTEGRAL EQUATIONS; Library of Congress Cataloging-in-Publication Data; Dedication; Contents; Preface; Introduction; Chapter 1: Preliminary Background; Chapter 2: Nonlinear Differential Equations of Fractional Order; Chapter 3: Fractional Order Riemann-Liouville Integral Equations; Chapter 4: Fractional Order Riemann-Liouville Volterra-Stieltjes Quadratic Integral Equations; Chapter 5: Fractional Order Riemann-Liouville Volterra-Stieltjes Quadratic Delay Integral Equations Chapter 6: Fractional Order Riemann-Liouville Integro-Differential EquationsChapter 7: Fractional Order Riemann-Liouville Delay Integro-Differential Equations; Chapter 8: Abstract Integral Equations; Chapter 9: Abstract Integro-Differential Equations; Chapter 10: Abstract Integro-Differential Inclusions; Chapter 11: Weak Solutions for Nonlinear Fractional Differential Equations; Chapter 12: Weak Solutions for Nonlinear Fractional Differential Inclusions; Chapter 13: Ulam Stabilities for the Darboux Problem for Partial Fractional Differential Equations and Inclusions Appendix A: Interpretations and Motivations for Fractional DerivativeReferences; Index; Blank Page Summary Fractional calculus deals with extensions of derivatives and integrals to non-integer orders. It represents a powerful tool in applied mathematics to study a myriad of problems from different fields of science and engineering, with many break-through results found in mathematical physics, finance, hydrology, biophysics, thermodynamics, control theory, statistical mechanics, astrophysics, cosmology and bioengineering. This book is devoted to the existence and uniqueness of solutions and some Ulam's type stability concepts for various classes of functional differential and integral equations of Bibliography Includes bibliographical references and index Subject Fractional differential equations. Fractional integrals. MATHEMATICS -- Calculus. MATHEMATICS -- Mathematical Analysis. Fractional differential equations Fractional integrals Form Electronic book Author Benchohra, M. (Mouffak), author. N'Guerekata, Gaston M., 1953- author. ISBN 9781634631327 1634631323

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